SOLUTION: A corporation has six male senior executives and four female senior executives. Four senior executives are chosen at random to attend a technology seminar. What is the probabilit

Question 1199022: A corporation has six male senior executives and four female senior
executives. Four senior executives are chosen at random to attend a
technology seminar. What is the probability of choosing
(a) four men?
(b) four women?
(c) two men and two women?
(d) one man and three women?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
A corporation has six male senior executives and four female senior
executives. Four senior executives are chosen at random to attend a
technology seminar. What is the probability of choosing
(a) four men?
(b) four women?
(c) two men and two women?
(d) one man and three women?
~~~~~~~~~~~~~~~~~~~

Common information:  total number of persons = 6 + 4 = 10.


(a)  P =  =  = .    ANSWER

     The denominator is the total number of all possible quadruples of 10 persons.

     The numerator is the number of all possible quadruples of 6 males.



(b)  P =  = .          ANSWER

     The denominator is the total number of all possible quadruples of 10 persons.

     The numerator is the number of all possible quadruples of 4 females.



(c)  P =  =  =  = .     ANSWER

     The denominator is the total number of all possible quadruples of 10 persons.

     The numerator is the number of all possible quadruples of 2 males and 2 females.

Solved for all parts (a), (b) and (c), excluding (d).

I left (d) for you in order for YOU complete it on your own.

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